105011560165 has 16 divisors (see below), whose sum is σ = 129118668336. Its totient is φ = 81940377600.

The previous prime is 105011560151. The next prime is 105011560177. The reversal of 105011560165 is 561065110501.

It can be written as a sum of positive squares in 8 ways, for example, as 6595713796 + 98415846369 = 81214^2 + 313713^2 .

It is not a de Polignac number, because 105011560165 - 2⁷ = 105011560037 is a prime.

It is a super-2 number, since 2×105011560165² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 816025 + ... + 935905.

It is an arithmetic number, because the mean of its divisors is an integer number (8069916771).

Almost surely, 2^105011560165 is an apocalyptic number.

It is an amenable number.

105011560165 is a deficient number, since it is larger than the sum of its proper divisors (24107108171).

105011560165 is a wasteful number, since it uses less digits than its factorization.

105011560165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124200.

The product of its (nonzero) digits is 4500, while the sum is 31.

Adding to 105011560165 its reverse (561065110501), we get a palindrome (666076670666).

The spelling of 105011560165 in words is "one hundred five billion, eleven million, five hundred sixty thousand, one hundred sixty-five".